Partial Differential Equations: An Introduction
by A.D.R. Choudary, Saima Parveen, Constantin Varsan
Publisher: arXiv 2010
Number of pages: 208
This book encompasses both traditional and modern methods treating partial differential equation (PDE) of first order and second order. There is a balance in making a selfcontained mathematical text and introducing new subjects. It is addressing to all scientists using PDE in treating mathematical methods.
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by Per Jakobsen - arXiv
These lecture notes give an introduction to perturbation method with main focus on the method of multiple scales as it applies to pulse propagation in nonlinear optics. Aimed at students that have little or no background in perturbation methods.
by Richard B. Melrose, Gunther Uhlmann - MIT
The origin of scattering theory is the study of quantum mechanical systems. The scattering theory for perturbations of the flat Laplacian is discussed with the approach via the solution of the Cauchy problem for the corresponding perturbed equation.
by Erich Miersemann - Leipzig University
These lecture notes are intended as a straightforward introduction to partial differential equations which can serve as a textbook for undergraduate and beginning graduate students. Some material of the lecture notes was taken from some other books.
by G.B. Folland - Tata Institute of Fundamental Research
The purpose of this course was to introduce students to the applications of Fourier analysis -- by which I mean the study of convolution operators as well as the Fourier transform itself -- to partial differential equations.